Paul Montel Explained

Paul Montel
Birth Name:Paul Antoine Aristide Montel
Birth Date:29 April 1876
Birth Place:Nice, France
Death Place:Paris, France
Nationality:French
Fields:Mathematics
Workplaces:Paris-Sorbonne University
École Normale Supérieure
Alma Mater:Sorbonne
Doctoral Advisor:Émile Borel
Doctoral Students:Mieczysław Biernacki
Henri Cartan
Jean Dieudonné
Lucien Hibbert
Miron Nicolescu
Known For:Montel's theorem
Montel space
Normal family

Paul Antoine Aristide Montel (29 April 1876 – 22 January 1975) was a French mathematician. He was born in Nice, France and died in Paris, France. He researched mostly on holomorphic functions in complex analysis.

Montel was a student of Émile Borel at the Sorbonne. Henri Cartan, Jean Dieudonné and Miron Nicolescu were among his students.

Montel's most important contribution to mathematics was the introduction and systematicdevelopment of thenotion of normal family.[1] This very influential book also contains the first exposition in the book form of the results of Pierre Fatou and Gaston Julia onholomorphic dynamics. The notion of normal family was a predecessor of the notion of compact space introduced by Pavel Alexandrov and Pavel Urysohn in 1929.[2]

Notes and References

  1. Book: Montel, Paul. Leçons sur les familles normales de fonctions analytiques et leurs applications. Gauthier-Villars. Paris. 1927.
  2. .